Maximum (between z = 0 and 1) root mean squared fractional error with respect to the QUIJOTE power spectra against run time for various nonlinear power spectrum emulators. The run time of EUCLIDEMULATOR2 is dominated by the Boltzmann code CLASS; the emulation run time is comparable to that of the BACCO emulator, as indicated by the unfilled cross. Our results are orders of magnitude faster than the other methods, with our best method – SYREN-HALOFIT – achieving even greater accuracy than the numerical emulators.